Sequences Tuesday, 30 April 2019

Example Continue the following sequences for the next two terms 1, 2, 3, 4, 5, ……… 2, 4, 6, 8, 10, ………… 1, 3, 5, 7, 9, ………….. 4, 8, 12, 16, …………. 1, 5, 9, 13, ……….

Example Continue the following sequences for the next two terms 3, 8, 13, 18, …… 20, 18, 16, 14, …… 1, 4, 9, 16, 25, ……. 1, 3, 6, 10, 15, …… 2, 3, 5, 8, 12, 17, ……

Example A sequence starts with 3, write down the next three terms in the sequence when a) 4 is added to the previous term. b) 2 is subtracted from the previous term c) the next term is double the last term

Example Continue the following sequences for the next two terms a) 2, 8, 14, 20, ….. b) 1, 4, 7, 10, ….. c) , , , , ….. d) 2, 5, 10, 17, …..

Example Write down the next three terms and a rule for the following sequences (a) 4, 10, 16, 22, 28 (b) 1, 6, 11, 21 (c) 9, 23, 30, 37 (d) 28, 26, 24, 22 (e) 7, 13, 15

Adding together the previous two terms generates the Fibonacci sequence. 1,1, 2, 3, 5, 8, 13, 21 3, 8, 11, 19, 30, 49, ….

Adding together the previous three terms generates a Fibonacci type sequence. 1,1,1, 3, 5, 9, 17, 31